The strain components for a point in a body subjected to plane strain are εx = -1140 με, εy = -610με and γxy = 901 μrad. Using Mohr’s circle, determine the principal strains (εp1 > εp2), the maximum inplane shear strain γip, and the absolute maximum shear strain γmax at the point. Show the angle θp (counterclockwise is positive, clockwise is negative), the principal strain deformations, and the maximum in-plane shear strain distortion in a sketch. The strain components for a point in a bodysubjected to plane strain are &x= -1140 µε, &y=-610μe and Yxy = 901 µrad. Using Mohr's circle,determine the principal strains (&p1 > Ɛp2), themaximum inplane shear strain Yip, and theabsolute maximum shear strain Ymax at thepoint. Show the angle 0p (counterclockwise ispositive, clockwise is negative), the principalstrain deformations, and the maximum in-planeshear strain distortion in a sketch.Ep1με.&p2=με.Yipurad.Ymax0p=Өр||||=Ourad.

Solution: Given: εx = -1140 εy = -610 γxy = 901

Answered: The strain components for a point in a…

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

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Problem 1P

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The strain components for a point in a body subjected to plane strain are εx = -1140 με, εy = -610με and γxy = 901 μrad. Using Mohr’s circle, determine the principal strains (εp1 > εp2), the maximum inplane shear strain γip, and the absolute maximum shear strain γmax at the point. Show the angle θp (counterclockwise is positive, clockwise is negative), the principal strain deformations, and the maximum in-plane shear strain distortion in a sketch.

The strain components for a point in a body
subjected to plane strain are &x= -1140 µε, &y=
-610μe and Yxy = 901 µrad. Using Mohr's circle,
determine the principal strains (&p1 > Ɛp2), the
maximum inplane shear strain Yip, and the
absolute maximum shear strain Ymax at the
point. Show the angle 0p (counterclockwise is
positive, clockwise is negative), the principal
strain deformations, and the maximum in-plane
shear strain distortion in a sketch.
Ep1
με.
&p2=
με.
Yip
urad.
Ymax
0p=
Өр
||
||
=
O
urad.

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